Basically: He is discussing a certain case [stuff happening inside a black hole] where general relativity says something is not observable, but quantum theory says it is in principle observable....Hawking's new solution is that the data escaping from inside the black hole is chaoticallly messed up, so that it's sort of in principle observable, but in practice too complicated to actually see...

This seems in line with my notion that quantum logic is for stuff that you cannot in principle measure -- where the YOU is highlighted ... i.e. this has to do with what you, as an information-processing system, have the specific capacity to measure without losing your you-ness...